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1 year ago

Given the points X(-2, 5) and Y(2, -3), find the coordinates of the point P on

Mathematics

1 answer:

Alinara [238K]1 year ago

5 0

The coordinate of the point P will be (6/5, -7/5). Then the correct option is C.

The complete question is attached below.

<h3>What is the section of the line?</h3>

Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divide the line segment in the ratio of m:n. Then we have

x = (mx₂ + nx₁) / (m + n)

y = (my₂ + ny₁) / (m + n)

Given the points X(-2, 5) and Y(2, -3).

Then the coordinates of the point P on directed line segment XY that partitions segment XY such that the ratio of XP to PY is 4:1.

(x₁, y₁) = (-2, 5)

(x₂, y₂) = (2, -3)

m = 4

n = 1

Then the point will be

x = [4 × 2 + 1 × (-2)] / (4 + 1)

x = 6 / 5

y = [4 × (-3) + 1 × 5] / (4 + 1)

y = -7 / 5

The coordinate of the point P will be (6/5, -7/5).

Then the correct option is C.

More about the section of the line link is given below.

brainly.com/question/6582647

#SPJ1

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Whats the answer in these boxexs

svetoff [14.1K]

Answer: 17 nickels, 8 dimes

Step-by-step explanation:

Since we are given system of equations, we can use elimination method to find n or d. First, let's eliminate n. To do so, we need to make sure they are equal to each other. Then, we would have to multilpy the second equaiton by 0.05.

0.05N+0.1D=1.65

0.05N+0.05D=1.25

Now, we can subtract the 2 equations.

0.05D=0.4

D=8

Now that we know the number of dimes, we can plug it into any of the equations to find nickels.

N+8=25

N=17

There are 17 nickels and 8 dimes.

5 0

2 years ago

Let f(x) = x^3 + 2x^2 + 3x + 1 and g(x)= 4x-5 Find f(x) x g(x)

Brums [2.3K]

$▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪$

Given :

$f(x) = {x}^{3} + 2 {x}^{2} + 3x + 1$

$g(x) = 4x - 5$

let's solve for f(x) × g(x) :

$( {x}^{3} + 2x {}^{2} + 3x + 1)(4x - 5)$

$4x {}^{4} - 5 {x}^{3} + 8 {x}^{3 } - 10 {x}^{2} + 12 {x}^{2} - 15x + 4x - 5$

$4 {x}^{4} + 3 {x}^{3} + 2 {x}^{2} - 11x - 5$

therefore, correct choice is : D

8 0

2 years ago

If Bill

777dan777 [17]

Answer:

$3,623.84 Exact answer without rounding | $3,623.85 ~ (Approximent Answer with rounding.)

Step-by-step explanation:

Compound Interest Has a Specific Formula:

This case is Exponential Growth.

Formula: y= ab^x

You need to set up the equation.

First we need to define the rate of growth meaning what do you have to do for the 6.5%.

You need to do 100% + 6.5% = 106.5%

You need to convert the percent to a decimal which will be 1.065

Now we need to start plugging things into our formula to solve.

Your initial Starting amount was $3000

So you need to have y=3000(b)^x

We now know that the rate of growth is 1.065 so the b would be 1.065

y=3000(1.065)^x

Our power to x is our 3.5 years.

Our Equation now:

y=3000(1.065)^3

Now you need to use a calculator to do this due to the amount of decimals and digits.

Remember pemdas when doing this!!!

The answer should result to $3,623.84 but if rounded then: $3,623.85

4 0

2 years ago

(9,-1); m=4/3 write an equation in point slope form for the line through the given point with the given slope

madreJ [45]

For this problem you are going to need to know the point-slope equation which is:
y-y₁=m(x-x₁)

Now, m=slope and the x and y values are given to us already, so now we just plug our variables into the formula.

It should look like this: $y+1= \frac{4}{3}(x-9)$
Since all they are asking for is for you to put it into a formula this will be your answer.

8 0

2 years ago

How do you solve this compound inequality???? Please show work!!! Thanks!!

svet-max [94.6K]

5n - 1 < -16

Add 1

5n < -15

Divide

n < -3

n is less than -3

-3n - 1 < 8

add 1

-3n < 9

divide by -3

n < -3

n is also less than -3

3 0

3 years ago